REGULARITY MEASURES FOR CONVEX POLYGONS
R. Chalmeta, F. Hurtado, V. Sacristán, M. Saumell


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We propose new measures to evaluate to which extent the shape of a given convex polygon is close to be regular, focusing on a range of characteristics of regularity: optimal ratio area-perimeter, equality of angles and edge lengths, regular fitting, angular and areal symmetry.

We prove that our measures satisfy several reasonable requirements that guarantee them to be well defined, and provide algorithms for their efficient computation.

We supply experimental results on all the proposed measures on a wide set of polygons.

The project includes an application for computing and visualizing all the measures
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Experiment 1 Experiment 2

Available material:

Last update of this page: June 5, 2011.